Finite Group Databasebeta

← Group #13147890

Character table — Group #13147890

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122234444666121212124121212123366666612121212366612121212121212121212121212121212121212121212444444442222444466666666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-111-1-1
χ911111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-11-11-1-1-1-1-111-1-1111111-1-11-11-1
χ1011111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11-11-11-1-1-1-1-1-1111111-1-111-11-11
χ1111111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11-11111111-1-1-1-1-1-111-1-1-11-11
χ1211111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-11-11111-1-111-1-1-1-1-1-1111-11-1
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-111-1-11-1-111-1-11111-1-111-1-11-1-11
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1-1-11111-1-111-1-1-1-111-111-1
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11-111-111-1-1-1-111-1-11111-1-1-111-1
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-11-1-1111-1-111-1-1-1-111-1-1111-1-11
χ172222222222222222222222-122-1-1-12-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-10000-1-1-1-10000
χ182222222222222222222222-122-1-1-12-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-2000000001111000011110000
χ19222222222222222222222-12-1-1222-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022220000000000000000-1-1-1-1
χ20222222222222222222222-12-1-1222-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000000000001111
χ212222222-2-22222222-2-2-2-2-22-122-1-1-121111-1-1-1-122-1-1-2-211-2-2-1-1-1-1111111110000222200-2-20000000011110000-1-1-1-10000
χ222222222-2-22222222-2-2-2-2-22-122-1-1-121111-1-1-1-122-1-1-2-211-2-2-1-1-1-1111111110000-2-2-2-2002200000000-1-1-1-1000011110000
χ232222222-2-22222222-2-2-2-2-2-12-1-1222-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-11111111100000000000022-2-20000000000000000-1-111
χ242222222-2-22222222-2-2-2-2-2-12-1-1222-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-111111111000000000000-2-222000000000000000011-1-1
χ2522222-2-222222-2-2-2-2-222-2-22-122-1-1-12-1-1-1-1-1-1-1-1-2-2112211-2-21111-1-1-1-11111000022-2-2002-200000000-1-1110000-1-1110000
χ2622222-2-222222-2-2-2-2-222-2-22-122-1-1-12-1-1-1-1-1-1-1-1-2-2112211-2-21111-1-1-1-111110000-2-22200-220000000011-1-1000011-1-10000
χ2722222-2-222222-2-2-2-2-222-2-2-12-1-1222-12222-1-1-1-111-2-2-1-1-2-2111111-1-1-1-111110000000000002-22-20000000000000000-11-11
χ2822222-2-222222-2-2-2-2-222-2-2-12-1-1222-12222-1-1-1-111-2-2-1-1-2-2111111-1-1-1-11111000000000000-22-2200000000000000001-11-1
χ2922222-2-2-2-2222-2-2-2-22-2-2222-122-1-1-121111-1-1-1-1-2-211-2-2-1-12211111111-1-1-1-1000022-2-200-220000000011-1-10000-1-1110000
χ3022222-2-2-2-2222-2-2-2-22-2-2222-122-1-1-121111-1-1-1-1-2-211-2-2-1-12211111111-1-1-1-10000-2-222002-200000000-1-111000011-1-10000
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-1-1222-1-2-2-2-2-1-1-1-111-2-21122-1-111111111-1-1-1-10000000000002-2-220000000000000000-111-1
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-1-1222-1-2-2-2-2-1-1-1-111-2-21122-1-111111111-1-1-1-1000000000000-222-200000000000000001-1-11
χ3322-2-22002-22-2-2000002-200222-2-2-22-222-2-222-2-200002-20000000022-2-200002i−2i2i−2i000000000000000000002i−2i2i−2i00000000
χ3422-2-22002-22-2-2000002-200222-2-2-22-222-2-222-2-200002-20000000022-2-20000−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000
χ3522-2-2200-222-2-200000-2200222-2-2-22-2-2-22222-2-20000-2200000000-2-22200002i−2i−2i2i000000000000000000002i−2i−2i2i00000000
χ3622-2-2200-222-2-200000-2200222-2-2-22-2-2-22222-2-20000-2200000000-2-2220000−2i2i2i−2i00000000000000000000−2i2i2i−2i00000000
χ372-22-222-200-2-2222-2-20000022-222-2-2-200002-22-22-22-200000022-2-20000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ382-22-222-200-2-2222-2-20000022-222-2-2-200002-22-22-22-200000022-2-2000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ392-22-222-200-2-2222-2-2000002-1-22-111-23−33−3-11-112-2-11003−300-1-1113−33−333−3−300002i−2i2i−2i000000000000−i3i3−i3i30000−ii−ii0000
χ402-22-222-200-2-2222-2-2000002-1-22-111-23−33−3-11-112-2-11003−300-1-1113−33−333−3−30000−2i2i−2i2i000000000000i3−i3i3−i30000i−ii−i0000
χ412-22-222-200-2-2222-2-2000002-1-22-111-2−33−33-11-112-2-1100−3300-1-111−33−33−3−33300002i−2i2i−2i000000000000i3−i3i3−i30000−ii−ii0000
χ422-22-222-200-2-2222-2-2000002-1-22-111-2−33−33-11-112-2-1100−3300-1-111−33−33−3−3330000−2i2i−2i2i000000000000−i3i3−i3i30000i−ii−i0000
χ432-22-22-2200-2-22-2-2220000022-222-2-2-200002-22-2-22-22000000-2-2220000000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000
χ442-22-22-2200-2-22-2-2220000022-222-2-2-200002-22-2-22-22000000-2-222000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000
χ452-22-22-2200-2-22-2-222000002-1-22-111-23−33−3-11-11-221-100−330011-1-13−33−3−3−33300002i−2i−2i2i000000000000−i3i3i3−i30000−iii−i0000
χ462-22-22-2200-2-22-2-222000002-1-22-111-23−33−3-11-11-221-100−330011-1-13−33−3−3−3330000−2i2i2i−2i000000000000i3−i3−i3i30000i−i−ii0000
χ472-22-22-2200-2-22-2-222000002-1-22-111-2−33−33-11-11-221-1003−30011-1-1−33−3333−3−300002i−2i−2i2i000000000000i3−i3−i3i30000−iii−i0000
χ482-22-22-2200-2-22-2-222000002-1-22-111-2−33−33-11-11-221-1003−30011-1-1−33−3333−3−30000−2i2i2i−2i000000000000−i3i3i3−i30000i−i−ii0000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221111-2-2-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-211112222-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-222221111222222-2-2-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-44004-44-4-4000004-4004-24-422-2-4-2-222-2-22200004-400000000-2-2220000000000000000000000000000000000000000
χ5444-4-44004-44-4-4000004-400-24-22-4-44244-4-4-2-2220000-2200000000-2-2220000000000000000000000000000000000000000
χ5544-4-44004-44-4-4000004-400-2-2-2222-22-2-22211-1-10000-2200003i−3i3i−3i11-1-13i−3i3i−3i000000000000000000000000000000000000
χ5644-4-44004-44-4-4000004-400-2-2-2222-22-2-22211-1-10000-220000−3i3i−3i3i11-1-1−3i3i−3i3i000000000000000000000000000000000000
χ5744-4-4400-444-4-400000-44004-24-422-2-422-2-2-2-2220000-440000000022-2-20000000000000000000000000000000000000000
χ5844-4-4400-444-4-400000-4400-24-22-4-442-4-444-2-22200002-20000000022-2-20000000000000000000000000000000000000000
χ5944-4-4400-444-4-400000-4400-2-2-2222-2222-2-211-1-100002-200003i−3i3i−3i-1-111−3i3i−3i3i000000000000000000000000000000000000
χ6044-4-4400-444-4-400000-4400-2-2-2222-2222-2-211-1-100002-20000−3i3i−3i3i-1-1113i−3i3i−3i000000000000000000000000000000000000
χ614-44-444-400-4-4444-4-400000-242-24-4-420000-22-22-224-4000000-2-22200000000000000000000000000000000000000000000
χ624-44-444-400-4-4444-4-400000-2-22-2-222223−2323−231-11-1-22-220023−230011-1-1−33−33−3−333000000000000000000000000000000000000
χ634-44-444-400-4-4444-4-400000-2-22-2-2222−2323−23231-11-1-22-2200−23230011-1-13−33−333−3−3000000000000000000000000000000000000
χ644-44-44-4400-4-44-4-44400000-242-24-4-420000-22-222-2-4400000022-2-200000000000000000000000000000000000000000000
χ654-44-44-4400-4-44-4-44400000-2-22-2-222223−2323−231-11-12-22-200−232300-1-111−33−3333−3−3000000000000000000000000000000000000
χ664-44-44-4400-4-44-4-44400000-2-22-2-2222−2323−23231-11-12-22-20023−2300-1-1113−33−3−3−333000000000000000000000000000000000000
χ674-4-4440000-44-400000000044-4-4-44-4400004-4-440000000000000000000000000000000000000000000000000000000000
χ684-4-4440000-44-40000000004-2-4-42-22423−23−2323-222-20000000000000023−23−23230000000000000000000000000000000000000000
χ694-4-4440000-44-40000000004-2-4-42-224−232323−23-222-200000000000000−232323−230000000000000000000000000000000000000000
χ704-4-4440000-44-4000000000-2422-44-4-20000-222-200000000−2i32i300000000−2i32i32i3−2i3000000000000000000000000000000000000
χ714-4-4440000-44-4000000000-2422-44-4-20000-222-2000000002i3−2i3000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ724-4-4440000-44-4000000000-2-2222-22-223−23−23231-1-1100000000−2i32i33i−3i−3i3i−333−3i3−i3−i3i3000000000000000000000000000000000000
χ734-4-4440000-44-4000000000-2-2222-22-223−23−23231-1-11000000002i3−2i3−3i3i3i−3i−333−3−i3i3i3−i3000000000000000000000000000000000000
χ744-4-4440000-44-4000000000-2-2222-22-2−232323−231-1-1100000000−2i32i3−3i3i3i−3i3−3−33i3−i3−i3i3000000000000000000000000000000000000
χ754-4-4440000-44-4000000000-2-2222-22-2−232323−231-1-11000000002i3−2i33i−3i−3i3i3−3−33−i3i3i3−i3000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002222000022000000-1-1-1-10000-1-1-1-100000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-20000-2-200000011110000111100000000
χ786666-366-6-6-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-200002-2000000-1-1110000-1-11100000000
χ796666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-2220000-2200000011-1-1000011-1-100000000
χ806666-3-6-666-3-3-33333-6-3-3330000000000000000000000000000000000000022220000-2-200000011110000-1-1-1-100000000
χ816666-3-6-666-3-3-33333-6-3-33300000000000000000000000000000000000000-2-2-2-2000022000000-1-1-1-10000111100000000
χ826666-3-6-6-6-6-3-3-33333633-3-30000000000000000000000000000000000000022-2-20000-2200000011-1-10000-1-11100000000
χ836666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000-2-22200002-2000000-1-111000011-1-100000000
χ8466-6-6-3006-6-33333−3333−330-3333−33000000000000000000000000000000000000002i−2i2i−2i000000000000−i3i3−i3i30000−ii−ii00000000
χ8566-6-6-3006-6-33333−3333−330-3333−3300000000000000000000000000000000000000−2i2i−2i2i000000000000i3−i3i3−i30000i−ii−i00000000
χ8666-6-6-3006-6-333−3333−33330-33−3333000000000000000000000000000000000000002i−2i2i−2i000000000000i3−i3i3−i30000−ii−ii00000000
χ8766-6-6-3006-6-333−3333−33330-33−333300000000000000000000000000000000000000−2i2i−2i2i000000000000−i3i3−i3i30000i−ii−i00000000
χ8866-6-6-300-66-33333−3333−3303-3−3333000000000000000000000000000000000000002i−2i−2i2i000000000000−i3i3i3−i30000−iii−i00000000
χ8966-6-6-300-66-33333−3333−3303-3−333300000000000000000000000000000000000000−2i2i2i−2i000000000000i3−i3−i3i30000i−i−ii00000000
χ9066-6-6-300-66-333−3333−333303-333−33000000000000000000000000000000000000002i−2i−2i2i000000000000i3−i3−i3i30000−iii−i00000000
χ9166-6-6-300-66-333−3333−333303-333−3300000000000000000000000000000000000000−2i2i2i−2i000000000000−i3i3i3−i30000i−i−ii00000000
χ9212-1212-12-612-120066-6-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-6-12120066-666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-600006-6663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-600006-66−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).